scholarly journals The subgroup structure of the Higman-Sims simple group

1971 ◽  
Vol 77 (4) ◽  
pp. 535-540 ◽  
Author(s):  
Spyros S. Magliveras
Keyword(s):  
Simple Group ◽  
Subgroup Structure

The maximal subgroups of the Lyons group

1985 ◽  
Vol 97 (3) ◽  
pp. 433-436 ◽  
Author(s):  
Robert A. Wilson
Keyword(s):  
Simple Group ◽  
Maximal Subgroups ◽  
Subgroup Structure ◽  
Image Position ◽  
Lyons Group

In this paper we complete the work begun in [2] on the subgroup structure of the Lyons simple group Ly of order

scholarly journals The intersection graph of a finite simple group has diameter at most 5

2021 ◽  
Author(s):  
Saul D. Freedman
Keyword(s):  
Simple Group ◽  
Upper Bound ◽  
Finite Simple Group ◽  
Unitary Groups ◽  
Intersection Graph ◽  
Monster Group ◽  
Prime Dimension

AbstractLet G be a non-abelian finite simple group. In addition, let $$\Delta _G$$ Δ G be the intersection graph of G, whose vertices are the proper non-trivial subgroups of G, with distinct subgroups joined by an edge if and only if they intersect non-trivially. We prove that the diameter of $$\Delta _G$$ Δ G has a tight upper bound of 5, thereby resolving a question posed by Shen (Czechoslov Math J 60(4):945–950, 2010). Furthermore, a diameter of 5 is achieved only by the baby monster group and certain unitary groups of odd prime dimension.

scholarly journals Groups with the Same Prime Graph as the Simple Group D n (5)

2014 ◽  
Vol 66 (5) ◽  
pp. 666-677
Author(s):  
A. Babai ◽  
B. Khosravi
Keyword(s):  
Simple Group ◽  
Prime Graph ◽  
Group D

scholarly journals A characterization of the simple group 2D4(2)

1981 ◽  
Vol 69 (2) ◽  
pp. 467-482 ◽  
Author(s):  
A.R Prince
Keyword(s):  
Simple Group

scholarly journals SOME REMARKS ON THE PROBABILITY OF GENERATING AN ALMOST SIMPLE GROUP

2003 ◽  
Vol 45 (2) ◽  
pp. 281-291 ◽  
Author(s):  
FRANCESCA DALLA VOLTA ◽  
ANDREA LUCCHINI ◽  
FIORENZA MORINI
Keyword(s):  
Simple Group ◽  
Almost Simple Group

scholarly journals An Abstract Simple Group of Order 25920

1900 ◽  
Vol s1-32 (1) ◽  
pp. 3-10
Author(s):  
L. E. Dickson
Keyword(s):  
Simple Group

scholarly journals On (2,3)-generation of Fischer's largest sporadic simple group Fi24′

2019 ◽  
Vol 357 (5) ◽  
pp. 401-412
Author(s):  
Faryad Ali ◽  
Mohammed Ali Faya Ibrahim ◽  
Andrew Woldar
Keyword(s):  
Simple Group ◽  
Sporadic Simple Group
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